Transcript Geometry for the Landscape Adapted form: Chapter 2 Math for Horticulture by Mary Ann Boor.

Geometry for the
Landscape
Adapted form:
Chapter 2 Math for Horticulture
by Mary Ann Boor
Objectives
• By the end of this lesson you will be
able to calculate:
– the perimeter of a given section of land
– the area of given section of land
– the volume of container
Terms
• diameter (d)- the line that divides a
circle into two equal parts
• radius ( r)- one half the diameter
• pi () - 3.14 or 22/7
• height- line segment that shows how
tall a triangle is. It is always drawn
from a corner of the triangle to the
opposite side forming a 90 degree
angle.
Terms continued
• perimeter(P)- the distance around
– the sum of all sides
– How much fence do you need to go around
a yard?
• Circumference (C)- perimeter of a
circle
– C= diameter X 
– How much edging do you need to go
around a flower bed?
Terms Continued
• volume (V)- how much fits in a given
space
– Volume of a box= area of bottom X
height
– Volume of a sphere+ 4/3 X pi X radius X
radius X radius
– How much soil do you need to fill a
flower pot?
More Terms
• area (A)- the space inside the
perimeter
–
–
–
–
rectangle= side X side
triangle= (base X height)/2
circle= radius X radius X 
How many square feet of sod do you
need to order to cover the yard?
Example of perimeter
Examples of area rectangle
Examples of area circle
Examples of Area of
Triangle
Volume
Notes
• If a shape is not standard break it
down into smaller standard shapes
to make calculations
• Calculations must be done in the
same unit of measurement (change
feet to inches or vice versa as
needed)
• Simplify all answers, do not write
feet as decimals, convert to inches.
Units
• Perimeter- feet, inches, cm, m, mm,
yards…….
• Area- sq. feet, sq. inches, sq. cm, sq.
yards…...
• Volume- cubic feet, cubic inches,
cubic cm, cubic yards…….
Homework problems
1.How many cubic feet of mulch do
you need to buy if you are mulching
a 3 foot ring three inches deep
around 4 trees that are 1 foot each in
diameter?
2. How much soil is needed to fill 24
planters that are 1 ft wide, 6 feet
long, and 1ft 6 inches deep?
3. Find the
perimeter of the
yard to the right.
4. How many sq.
feet of sod would
be needed to
cover the yard at
the right?
38’
5. If three inches of snow had to be
removed from a walk pictured below,
how many cubic ft of snow would be
removed?
46’
50’